首页|Implicit Bonded Discrete Element Method with Manifold Optimization

Implicit Bonded Discrete Element Method with Manifold Optimization

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This article proposes a novel simulation approach that combines implicitintegration with the Bonded Discrete Element Method (BDEM) toachieve faster, more stable, and more accurate fracture simulation. Thenew method leverages the efficiency of implicit schemes in dynamic simulationand the versatility of BDEM in fracture modeling. Specifically, anoptimization-based integrator for BDEM is introduced and combined witha manifold optimization approach to accelerate the solution process ofthe quaternion-constrained system. Our comparative experiments indicatethat our method offers better scale consistency and more realistic collisioneffects than finite element method and material point method fragmentation approaches. Additionally, our method achieves a computationalspeedup of 2.1 to 9.8 times over explicit BDEM methods.

Discrete element methodfracture simulationoptimization-based integratormanifold optimization

JIA-MING LU、GENG-CHEN CAO、CHENFENG LI、SHI-MIN HU

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BNRist, Department of Computer Science and Technology, Tsinghua University, Beijing, China

Zienkiewicz Institute for Modelling, Data and AI, Swansea University Bay Campus, Swansea, UnitedKingdom of Great Britain and Northern Ireland

2025

ACM transactions on graphics

ACM transactions on graphics

ISSN:0730-0301
年,卷(期):2025.44(1)
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